Compare commits

..

10 Commits

23 changed files with 1810 additions and 1 deletions

View File

@@ -0,0 +1,25 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "abc050"
version = "0.1.0"
dependencies = [
"proconio",
]
[[package]]
name = "lazy_static"
version = "1.4.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
[[package]]
name = "proconio"
version = "0.4.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "91c333be3af2936f8e810300bc74fe4d0cc168ebc04ab02a28c5b1060fa1bd59"
dependencies = [
"lazy_static",
]

View File

@@ -0,0 +1,12 @@
[package]
name = "abc050"
version = "0.1.0"
edition = "2021"
# dependencies added to new project
[dependencies]
proconio = "0.4.3"
[profile.release]
lto = true
panic = 'abort'

View File

@@ -0,0 +1,19 @@
use proconio::input;
fn main() {
input! {
a: u32,
op: char,
b: u32,
}
let mut result = a as i32;
match op {
'+' => result += b as i32,
'-' => result -= b as i32,
_ => unreachable!(),
}
println!("{}", result);
}

View File

@@ -0,0 +1,17 @@
use proconio::input;
fn main() {
input! {
n: usize,
ts: [i32; n],
m: usize,
pxs: [(i32, i32); m],
};
let max_time: i32 = ts.iter().sum();
for (p, x) in pxs {
let time_saved = ts[p as usize - 1] - x;
println!("{}", max_time - time_saved);
}
}

View File

@@ -0,0 +1,3 @@
fn main() {
unimplemented!();
}

View File

@@ -0,0 +1,3 @@
fn main() {
unimplemented!();
}

7
projecteuler/086/Cargo.lock generated Normal file
View File

@@ -0,0 +1,7 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "main"
version = "0.1.0"

View File

@@ -0,0 +1,8 @@
[package]
name = "main"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]

View File

@@ -0,0 +1,52 @@
use std::time::Instant;
fn does_cuboid_have_integer_shortest_path(a: u64, b: u64, c: u64) -> bool {
assert!(a >= b);
assert!(b >= c);
let d = a * a + (b + c).pow(2);
let root = (d as f64).sqrt() as u64;
d == root * root
}
fn new_solution(old_solution: u64, max_m: u64) -> u64 {
let mut current_number_of_solutions = 0;
for h in 1..=max_m {
for w in 1..=h {
if does_cuboid_have_integer_shortest_path(max_m, h, w) {
current_number_of_solutions += 1;
}
}
}
current_number_of_solutions + old_solution
}
fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
let max_value = 1000000;
let mut number_of_solutions = vec![0];
let mut m = 1;
while let Some(&n) = number_of_solutions.last() {
if n > max_value {
break;
}
number_of_solutions.push(new_solution(n, m));
m += 1;
}
println!(
"The least value of M such that the number of solutions first exceeds {} is: {}",
max_value,
number_of_solutions.len() - 1,
);
println!("Time passed: {:?}", Instant::now() - now);
}

7
projecteuler/087/Cargo.lock generated Normal file
View File

@@ -0,0 +1,7 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "main"
version = "0.1.0"

View File

@@ -0,0 +1,8 @@
[package]
name = "main"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]

View File

@@ -0,0 +1,62 @@
use std::collections::HashSet;
use std::time::Instant;
fn primes(max_prime: u32) -> Vec<u32> {
let mut prime_bools = vec![true; max_prime as usize];
prime_bools[0] = false;
prime_bools[1] = false;
for p in 2..=(max_prime as f32).powf(0.5) as usize + 1 {
if !prime_bools[p] {
continue;
}
let mut i = p;
while i + p < max_prime as usize {
i += p;
prime_bools[i] = false;
}
}
prime_bools
.into_iter()
.enumerate()
.filter_map(|(n, b)| match b {
false => None,
true => Some(n as u32),
})
.collect()
}
fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
let mut prime_power_triples = HashSet::new();
let max_value = 50000000;
let primes_power_two = primes(f32::powf(max_value as f32, 0.5) as u32 + 1);
let primes_power_three = primes(f32::powf(max_value as f32, 1.0 / 3.0) as u32 + 1);
let primes_power_four = primes(f32::powf(max_value as f32, 0.25) as u32 + 1);
for twos in primes_power_two.iter() {
for threes in primes_power_three.iter() {
for fours in primes_power_four.iter() {
let n = twos * twos + threes * threes * threes + fours * fours * fours * fours;
if n < max_value {
prime_power_triples.insert(n);
}
}
}
}
println!(
"Number of prime power triples under {}: {:?}",
max_value,
prime_power_triples.len()
);
// println!("They are: {:?}", prime_power_triples);
println!("Time passed: {:?}", Instant::now() - now);
}

25
projecteuler/088/Cargo.lock generated Normal file
View File

@@ -0,0 +1,25 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "autocfg"
version = "1.1.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d468802bab17cbc0cc575e9b053f41e72aa36bfa6b7f55e3529ffa43161b97fa"
[[package]]
name = "main"
version = "0.1.0"
dependencies = [
"num-traits",
]
[[package]]
name = "num-traits"
version = "0.2.15"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "578ede34cf02f8924ab9447f50c28075b4d3e5b269972345e7e0372b38c6cdcd"
dependencies = [
"autocfg",
]

View File

@@ -0,0 +1,9 @@
[package]
name = "main"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]
num-traits = "0.2.15"

View File

@@ -0,0 +1,79 @@
use num_traits::{identities::One, Num};
use std::{
cmp::min,
collections::{hash_map::RandomState, HashSet},
time::Instant,
};
fn product<T: Num + Copy>(v: &Vec<T>) -> T {
v.iter().fold(One::one(), |acc, &v_x| acc * v_x)
}
fn naive_solution(k: u32) -> u32 {
let max_ps = 2 * k;
let mut numbers = vec![1; k as usize];
let mut result = u32::MAX;
let mut idx = k as usize - 1;
while numbers[0] <= k {
let p = product(&numbers);
let s = numbers.iter().sum::<u32>();
if p == s {
result = min(result, p);
return result;
} else if p > max_ps || s > max_ps {
idx -= 1;
} else {
numbers[idx] += 1;
}
}
return 0;
}
// ChatGPT failing once again
fn _chatgpt_solution(k: u32) -> u32 {
let mut prod = vec![2 * k; k as usize + 1];
let mut sums = vec![2 * k; k as usize + 1];
prod[1] = 1; // product of a single number is 1
sums[1] = 1; // sum of a single number is 1
// iterate through all possible combinations of numbers
for i in 2..k + 1 {
for j in (i..2 * k + 1).rev() {
for p in 1..=j - i {
let q = j - i - p;
if q >= i && prod[p as usize] <= j / prod[q as usize] {
let s = sums[p as usize] + q;
if s < sums[j as usize] {
sums[j as usize] = s;
prod[j as usize] = prod[p as usize] * q;
}
}
}
}
}
sums[k as usize]
}
fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
let max_k = 12;
let solution = naive_solution;
let results: Vec<u32> = ((2..=max_k).into_iter().map(|k| solution(k))).collect();
let hash_results: HashSet<u32, RandomState> = HashSet::from_iter(results.into_iter());
let result: u32 = hash_results.into_iter().sum();
println!(
"The sum of all minimal product-sum numbers for 2 <= k <= {} is: {}",
max_k, result,
);
println!("Time passed: {:?}", Instant::now() - now);
}

32
projecteuler/089/Cargo.lock generated Normal file
View File

@@ -0,0 +1,32 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "main"
version = "0.1.0"
dependencies = [
"nom",
]
[[package]]
name = "memchr"
version = "2.5.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "2dffe52ecf27772e601905b7522cb4ef790d2cc203488bbd0e2fe85fcb74566d"
[[package]]
name = "minimal-lexical"
version = "0.2.1"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "68354c5c6bd36d73ff3feceb05efa59b6acb7626617f4962be322a825e61f79a"
[[package]]
name = "nom"
version = "7.1.3"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "d273983c5a657a70a3e8f2a01329822f3b8c8172b73826411a55751e404a0a4a"
dependencies = [
"memchr",
"minimal-lexical",
]

View File

@@ -0,0 +1,9 @@
[package]
name = "main"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]
nom = "7.1.3"

1000
projecteuler/089/roman.txt Normal file

File diff suppressed because it is too large Load Diff

View File

@@ -0,0 +1,407 @@
use nom::{
branch::alt,
character::complete::{char, multispace1},
multi::{many1, separated_list1},
IResult, Parser,
};
use std::{time::Instant, vec};
#[derive(Debug, PartialEq, Eq, Clone, Copy)]
enum RomanNum {
I,
V,
X,
L,
C,
D,
M,
Empty,
}
use RomanNum::*;
type RomanNumeral = Vec<RomanNum>;
impl RomanNum {
fn to_digit(&self) -> u32 {
match self {
I => 1,
V => 5,
X => 10,
L => 50,
C => 100,
D => 500,
M => 1000,
Empty => 0,
}
}
}
// This function is not correct at all but I'm not gonna bother fixing it
#[deprecated]
fn _is_minimal(number: &RomanNumeral) -> bool {
let mut last_num = Empty;
let mut occ = 0;
for num in number.iter() {
if *num == last_num {
occ += 1;
} else {
last_num = *num;
occ = 1;
}
if occ > 3 && (last_num == I || last_num == X || last_num == C) {
return false;
// } else if occ > 1 && (last_num == V || last_num == L || last_num == D) {
// return false;
}
}
true
}
#[deprecated]
fn _reduce(original: &RomanNumeral) -> RomanNumeral {
let mut last_num = Empty;
let mut occ = 0;
let mut result = vec![];
let mut number = original.clone();
number.push(Empty);
for num in number.iter() {
if *num == last_num {
occ += 1;
if occ == 10 {
match last_num {
I => result.push(X),
X => result.push(C),
C => result.push(M),
M => {
for _ in 0..occ {
result.push(M);
}
}
_ => {}
}
occ -= 10;
}
} else {
if occ < 4 {
for _ in 0..occ {
result.push(last_num);
}
} else if occ == 4 {
match last_num {
I => {
result.push(I);
result.push(V);
}
X => {
result.push(X);
result.push(L);
}
C => {
result.push(C);
result.push(D);
}
M => {
for _ in 0..occ {
result.push(M);
}
}
_ => {}
}
} else if occ == 5 {
match last_num {
I => result.push(V),
X => result.push(L),
C => result.push(D),
M => {
for _ in 0..occ {
result.push(M);
}
}
_ => {}
}
} else if occ >= 6 && occ <= 8 {
match last_num {
I => {
result.push(V);
for _ in 0..occ - 5 {
result.push(I);
}
}
X => {
result.push(L);
for _ in 0..occ - 5 {
result.push(X);
}
}
C => {
result.push(D);
for _ in 0..occ - 5 {
result.push(C);
}
}
M => {
for _ in 0..occ {
result.push(M);
}
}
_ => {}
}
} else if occ == 9 {
match last_num {
I => {
result.push(I);
result.push(X);
}
X => {
result.push(X);
result.push(C);
}
C => {
result.push(C);
result.push(M);
}
M => {
for _ in 0..occ {
result.push(M);
}
}
_ => {}
}
}
last_num = *num;
occ = 1;
}
// println!("{:?}", result);
}
result
}
#[deprecated]
fn _reduce_extra(numeral: &RomanNumeral) -> RomanNumeral {
if numeral.len() <= 3 {
return numeral.clone();
}
let mut result = vec![];
let mut window = vec![Empty, numeral[0], numeral[1]];
let mut i = 2;
while i < numeral.len() {
result.push(window[0]);
window[0] = window[1];
window[1] = window[2];
window[2] = numeral[i];
if window[0] == V && window[1] == I && window[2] == V {
result.push(I);
result.push(X);
window[1] = Empty;
window[2] = Empty;
} else if window[0] == L && window[1] == X && window[2] == L {
result.push(X);
result.push(C);
window[1] = Empty;
window[2] = Empty;
} else if window[0] == D && window[1] == C && window[2] == D {
result.push(C);
result.push(M);
window[1] = Empty;
window[2] = Empty;
}
i += 1;
}
result.push(window[0]);
result.push(window[1]);
result.push(window[2]);
result.into_iter().filter(|&n| n != Empty).collect()
}
fn roman_to_decimal(number: &RomanNumeral) -> u32 {
let mut result: i32 = 0;
let mut last;
let mut current = Empty;
for &num in number.iter() {
last = current;
current = num;
if last.to_digit() < current.to_digit() {
result -= last.to_digit() as i32;
} else {
result += last.to_digit() as i32;
}
}
result += current.to_digit() as i32;
result as u32
}
fn decimal_to_roman(number: u32) -> RomanNumeral {
let mut n = number;
let mut result = vec![];
while n > 0 {
while n >= 1000 {
result.push(M);
n -= 1000;
}
if n >= 900 {
result.push(C);
result.push(M);
n -= 900;
}
if n >= 500 {
result.push(D);
n -= 500;
}
if n >= 400 {
result.push(C);
result.push(D);
n -= 400;
}
while n >= 100 {
result.push(C);
n -= 100;
}
if n >= 90 {
result.push(X);
result.push(C);
n -= 90;
}
if n >= 50 {
result.push(L);
n -= 50;
}
if n >= 40 {
result.push(X);
result.push(L);
n -= 40;
}
while n >= 10 {
result.push(X);
n -= 10;
}
if n == 9 {
result.push(I);
result.push(X);
n -= 9;
}
if n >= 5 {
result.push(V);
n -= 5;
}
if n == 4 {
result.push(I);
result.push(V);
n -= 4;
}
while n > 0 {
result.push(I);
n -= 1;
}
}
result
}
fn parse_input(input: &str) -> IResult<&str, Vec<RomanNumeral>> {
let (input, result) = separated_list1(
multispace1,
many1(
alt((
char('I'),
char('V'),
char('X'),
char('L'),
char('C'),
char('D'),
char('M'),
))
.map(|c| match c {
'I' => I,
'V' => V,
'X' => X,
'L' => L,
'C' => C,
'D' => D,
'M' => M,
_ => Empty,
}),
),
)(input)?;
Ok((input, result))
}
fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
let input_text = include_str!("../roman.txt");
// let res = parse_input(input_text);
// println!("{:?}", res);
let (_, numerals) = parse_input(input_text).unwrap();
let mut result = 0;
// for mut numeral in numerals {
// let start = numeral.len();
// let mut s = start;
// loop {
// numeral = reduce(&numeral);
// numeral = reduce_extra(&numeral);
// if s == numeral.len() {
// break;
// }
// s = numeral.len();
// }
// result += start - numeral.len();
// println!("{:?} , {}", numeral, start - numeral.len());
// }
// Thanks chat gpt for giving me the direction of a solution that should work (although let the record state that the specific solution it generated was not correct at all)
for numeral in numerals {
let l = numeral.len();
let dec_version = roman_to_decimal(&numeral);
let rom_version = decimal_to_roman(dec_version);
// println!(
// "{:?} calculated to be {} then represented as {:?}",
// numeral, &dec_version, &rom_version,
// );
debug_assert!(l >= rom_version.len());
result += l - rom_version.len();
}
println!("The number of characters that can be saved is: {}", result);
println!("Time passed: {:?}", Instant::now() - now);
}

7
projecteuler/090/Cargo.lock generated Normal file
View File

@@ -0,0 +1,7 @@
# This file is automatically @generated by Cargo.
# It is not intended for manual editing.
version = 3
[[package]]
name = "main"
version = "0.1.0"

View File

@@ -0,0 +1,8 @@
[package]
name = "main"
version = "0.1.0"
edition = "2021"
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
[dependencies]

View File

@@ -0,0 +1,10 @@
use std::time::Instant;
fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
// We can't just loop through all possibilities because that would something in the order of
// (10*9*8*7*6*5)^2, which is a really big scary number
println!("Time passed: {:?}", Instant::now() - now);
}

View File

@@ -4,5 +4,5 @@ fn main() {
println!("Hello, this is Patrick!");
let now = Instant::now();
println!("Time passed: {:?}", now);
println!("Time passed: {:?}", Instant::now() - now);
}